Prime p₀= 2029092278346101711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Dingo
db: batch=80, k=10, 2 64 2 70 2

SPT(16)	2029090339605948163	0 18 48 84 138 150 168 180 264 276 294 306 360 396 426 444	-1938740153548
STPT(10)	2029090538023708799	0 2 48 50 90 92 132 134 180 182	-1740322392912
STPT(10)	2029091076712129481	0 2 6 8 18 20 30 32 36 38	-1201633972230
STPT(10)	2029091471522731961	0 2 36 38 78 80 120 122 156 158	-806823369750
STPT(10)	2029091839002769337	0 2 30 32 42 44 54 56 84 86	-439343332374
SPT(16)	2029092076768162363	0 94 114 124 138 144 150 168 196 214 220 226 240 250 270 364	-201577939348
STPT(10)	2029092485303072237	0 2 42 44 72 74 102 104 144 146	206956970526
TPT(14)	2029092625734327617	0 2 114 116 120 122 144 146 252 254 294 296 300 302	347388225906
SPT(16)	2029092876308629843	0 4 10 28 34 48 84 96 118 130 166 180 186 204 210 214	597962528132
SPT(16)	2029093084435437857	0 20 26 72 90 102 104 132 194 222 224 236 254 300 306 326	806089336146
SPT(16)	2029093788536551631	0 6 20 188 200 252 258 272 336 350 356 408 420 588 602 608	1510190449920